Question
HELP ME, PLEASE.
GEOMETRY Exam 3 Continued Items 7-9: Use the diagram at right. 7. Based on the diagram to the right, complete each statement LI and L are corresponding angles. are alternate exterior angles. L3 and L 0 are alternate interior angles L5 and L are vertical angles. L4 and L are consecutive interior angles. Line is a transversal. 8. Match the theorem or postulate that justifies each statement If p II q, then L4 s L5 Corresponding Angles Converse Post. Alternate Exterior Angles Thm. If p ll q, then mL3 mL5 180o Consecutive. Int. Ang. Converse Thm. Consecutive Interior Angles Thm. -L fp ll q, then L2 L6 E Alt. Interior Angles Converse Thm. Linear Pair Postulate If p ll q, then L1 L8 Alternate Interior Angles Theorem Alt Exterior Ang. Converse Thm. L2 L3 Corresponding Angles Postulate If L3 L7, then p Il Vertical Angles Congruence Thm. If L3 L6, then p ll q If mL4 mL6 800, then p ll q If L2 L7, then p ll q 9. If p II q and mL 125 then m 3 muL4 mL 5 and mL6 (more)
Explanation / Answer
since p||q
so, m<1+m<2=180
given that m<1=125
so, 125+m<2=180
m<2=180-125
m<2=55
and for m<1 + m<3=180
m<3=55
same as m<3 + m<4=180
so m<4 = 125
since m<1 and m<5 are corresponding angles, so that m<1 = m<5
so, m<5=125
and for last m<6 make alternate interior angle with m<3, so that m<3 = m<6
so, m<6=55
